# Bernstein Polynomials

Bernstein Polynomials

Bernstein polynomials play an important role in computer graphics. For instance, they are used as a basis for Bézier curves. The envelope of the Bernstein polynomial of degree is given by . This Demonstration shows Bernstein polynomials and their envelopes.

n

f(x)=

n

1

2πnx(1-x)